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Finding the Third Proportional to 630.95 and 1,293.38

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Solution

The third proportional to 630.95 and 1,293.38 is: 2,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.95 : 1,293.38 = 1,293.38 : x
  2. Step 2: Convert to fraction form
    630.95/1,293.38 = 1,293.38/x
  3. Step 3: Cross multiply
    630.95x = 1,293.38 × 1,293.38
  4. Step 4: Simplify right side
    630.95x = 1,672,834.05
  5. Step 5: Solve for x
    x = 1,672,834.05/630.95
  6. Step 6: Final answer
    x = 2,651.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.